Actions of discrete groups on nonpositively curved spaces

Mathematische Annalen

Volumn 306, Issue 1, 1996, Pages 341-352

  Kapovich, Michael ^a   Leeb, Bernhard ^b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030523270     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01445254     Document Type: Article

References (24)

1. W. Ballmann: Lectures on spaces of nonpositive curvature, DMV-Seminar vol. 25, Birkhäuser 1995.
2. W. Ballmann: Singular spaces of nonpositive curvature, In: E. Ghys and P. de la Harpe, Sur les groupes hyperboliques d'après Mikhael Gromov, Birkhäuser 1990., pp. 189-201.
3. W. Ballmann, M. Gromov, V. Schroeder: Manifolds of nonpositive curvature, Birkhäuser 1985.
4. J. Birman: Braids, links and mapping class groups, Annals of Math. Stud. 82, Princeton University Press, 1974.
5. J. Birman, A. Lubotzky, J. McCarthy: Abelian and solvable subgroups of the mapping class groups, Duke Math. Journal 50 (1983) 1107-1120.
6. M. Bridson and A. Haefliger: CAT(0)-spaces, in preparation.
7. S. Buyalo, V. Kobelski: Geometrization of graphmanifolds: conformal states, POMI Preprint no. 7, July 1994. To appear in St. Petersburg Math. J.
8. S. Buyalo, V. Kobelski: Geometrization of graphmanifolds: isometric states, POMI Preprint no. 8, October 1994. To appear in St. Petersburg Math. J.
9. J. Earle, J. Eells: The diffeomorphism group of a compact Riemann surface, Bull. of AMS 73 (1967) 557-559.
10. P. Eberlein: A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center, Math. Ann. 260 (1982), vol. 1, 23-29.
11. S. Gersten: The automorphism group of free group is not a CAT(0)-group, University of Utah, Preprint.
12. S. Gersten: Bounded cocycles and combings of groups, Int. J. of Algebra and Computation, 2, no. 3 (1992), 307-326.
13. D. Gromoll, J. Wolf: Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature, Bull. Amer. Math. Soc. 77, vol. 4 (1971), 545-552.
14. J. Hempel: 3-manifolds, Annals of Math. Studies, Vol. 86, Princeton University Press, 1976.
15. M. Kapovich, B. Leeb: Asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds, Geometric and Functional Analysis 5(3) (1995), 582-603.
16. M. Kapovich, B. Leeb: On actions of discrete groups on nonpositively curved spaces, MSRI-preprint 059-94, 1994.
17. M. Kapovich, B. Leeb: On quasi-isometries of graph manifold groups, preprint 1994.
18. B. Kleiner, B. Leeb: Rigidity of quasi-isometries for symmetric spaces of higher rank, preprint 1995.
19. K. Kodaira: A certain type of irregular algebraic surfaces, J. d'Anal. Math. 19 (1967) 207-215.
20. H. B. Lawson, S. T. Yau: On compact manifolds of nonpositive curvature, J. Diff. Geom. 7 (1972), 211-238.
21. B. Leeb: 3-manifolds with(out) metrics of nonpositive curvature, PhD Thesis, University of Maryland, 1992.
22. B. Leeb: 3-manifolds with(out) metrics of nonpositive curvature, Invent. Math. 122(2) (1995), 277-289.
23. G. Mess: Unit tangent bundle subgroups of the mapping class group, MSRI-preprint 05708-90, 1990.
24. P. Scott: The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), 404-487.